Can someone plz help me with these scientific notation questions?

Question

I really cant understand these scientific notation question and im in hornors but cant get it. please help me.
first set says write the following numbers in scinetific notaion
1. .00007981
2. .002401
3. .00000386
the next set says convert the following numbers from scientific notaion into standard form
1. 3.65 x10 -7
2. 4.209x 10 exponent 6
3. 1.768x 10 expontnt 4
4. 5.13x 10-9
5. 1.23x 10-3
6. 9.62x 10 expont 11
and the last set says circle the number that has the larger value.
1. 1.67x 10 exponent 8 or 3.26x 10 exponent 5
2. 562,800,000 or 5.628x 10 expontent 7
3. 6.82x10-4 or 4.13x 10-2
4. 1.46x 10 expont 11 or 1.7x 10 expontnet 11
5. last one is 5.673x10 -9 or 7.21x10-9

Answer 1

1. 7.98 x 10^ -5 (5 decimal places over to the right)

2. 2.40 x 10 ^ -3

3. 3.86 x 10 ^ -6



1. 000000365 (6 zeroes)

2. 4,209,000 (after 4, 6 figures)

3. 17,680 (after 1, 4 figures)

4. .00000000513 (8 zeroes) *1 less than 9(exponent)

5. .00123

6. 962,000,000,000



1. 1.67 x 10^8 (larger exponent)

2. 562,800,000 this one has an exponent of 8

3. 4.13 x 10 -2 (larger exponent) -2 > -4

4. 1.7 x 10^11 because 1.7>1.46 and they have the same exponent

5. 5.673 x 10 -9 because smaller is bigger when you're doing negatives.

Answer 2

Scientific Notation Generator

Answer 3

your aim is to get a number of 3 significant figures.



the amount of spaces the deimal point moves is the exponent number. whether is moves left or right determines whether its positive or negative.



for example, 1 in the first set.



the first significant number is 7. to put the decimal point after the 7, it has to move 5 spaces to the right.



your number then looks like this --> 7.981.



however, you only need 2 more numbers, so it becomes -->7.98.



then you add how many spaces the point moved (5), and because it moved to the right, it is a negative exponent.



therefore your final number is 7.98 x 10 exponent -6.



set 2 is just the reversal of that.



set 3, is applying that principal (reversing it) and finding the biggest number.



apologies if that was confusing.



i hope you werent expecting someone to just give you the answers to all the questions, and if someone does, thats really not going to help them figure it out. as an honors, its a bit odd that you dont have this concept yet....

Answer 4

Just use a calculator or an online scientific notation generator